Pith Number

pith:5GBHBJMO

pith:2011:5GBHBJMOPX5Q5LWVHWLK4M5FMZ

not attested not anchored not stored refs pending

Integral trace forms associated to cubic extensions

Guillermo Mantilla-Soler

arxiv:1104.4598 v1 · 2011-04-24 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GBHBJMOPX5Q5LWVHWLK4M5FMZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:23:33.791113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98270a58e7dfb0eaed53d96ae33a566505f7063df91a423d99c8c65beffaa2b

Aliases

arxiv: 1104.4598 · arxiv_version: 1104.4598v1 · doi: 10.48550/arxiv.1104.4598 · pith_short_12: 5GBHBJMOPX5Q · pith_short_16: 5GBHBJMOPX5Q5LWV · pith_short_8: 5GBHBJMO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5GBHBJMOPX5Q5LWVHWLK4M5FMZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e98270a58e7dfb0eaed53d96ae33a566505f7063df91a423d99c8c65beffaa2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7a23a293a11b24af896f0655c9868f37cdc72df297d13527fc84472ec8e407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-24T01:31:44Z",
    "title_canon_sha256": "762387db789b72cbd1272b3e8993735098896fe1031f0e53609b8bc8fc2054cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4598",
    "kind": "arxiv",
    "version": 1
  }
}